How do I begin to simplify this?
3x/(4x-5y)=6ay-14b
multiply each side by (4x-5y)
3x = (4x-5y)(6ay - 14b)
expand the right side
To simplify the given expression, we'll start by isolating the variable on one side of the equation. Here's how we can do it step-by-step:
1. Start by multiplying both sides of the equation by (4x - 5y) to eliminate the fraction:
(4x - 5y) * (3x/(4x - 5y)) = (4x - 5y) * (6ay - 14b).
The (4x - 5y) term on the left side cancels out, leaving us with:
3x = (6ay - 14b) * (4x - 5y).
2. Next, distribute and simplify the right side of the equation:
3x = (24axy - 60ay + 56bx - 70b).
3. Now, we need to solve for x. Divide both sides of the equation by 3:
(3x)/3 = (24axy - 60ay + 56bx - 70b)/3.
This simplifies to:
x = (24axy - 60ay + 56bx - 70b)/3.
So, the given expression simplified is x = (24axy - 60ay + 56bx - 70b)/3.